question_answer2) A wheel turning with angular speed of 30 rev/s is brought to rest with a constant acceleration. It turns 60 rev before it stops, the time that elapses before it stop, is
question_answer3) A rod of length L is composed of a uniform length 1/2 L of wood whose mass is m^ and a uniform length 1/2 L of brass whose mass is \[{{m}_{b}}\]. The moment of inertia I of the rod about an axis perpendicular to the rod and through its centre is equal to
question_answer4) Consider a satellite orbiting the earth as shown in the figure below. Let \[{{L}_{a}}\] and \[{{L}_{p}}\] represent the angular momentum of the satellite about the earth when at aphelion and perihelion respectively. Consider the following relations.
question_answer5) A body is projected vertically upward from the surface of the earth with a velocity equal to half the escape velocity. If R is radius of the earth, the maximum height attained by the body is
question_answer6) The imaginary angular velocity of the earth for which the effective acceleration due to gravity at the equator shall be zero is equal to
question_answer7) If an anisotropic solid has coefficients of linear expansion \[{{\alpha }_{x}},\,\,{{\alpha }_{y}}\] and \[{{\alpha }_{z}}\] for three mutually perpendicular directions in the solid, its coefficient of volume expansion will be
question_answer9) 100 mol of an ideal gas is heated from 10 to \[{{20}^{o}}C\] keeping its volume constant pressure constant. Let \[\Delta {{U}_{a}}\] and \[\Delta {{U}_{b}}\] denote the change in the internal energy of the gas due to process and respectively. Then which of the following shall be true?
question_answer10) Refer to the Carnot cycle of an ideal gas shown in the figure. Let \[{{W}_{a\to b}},{{W}_{b\to c}},{{W}_{c\to d}}\] and \[{{W}_{d\to a}}\]represent the work done by the system during the processes \[a\to b,\,b\to c,\,c\to d\] and \[d\to a\]respectively. Consider the following relations
question_answer12) Water flows in a streamlined manner through a capillary tube of radius a the pressure difference being p and the rate of flow Q. If the radius is reduced to a/2 and the pressure increased to 2p. The rate of flow becomes
question_answer13) Figure given shows a sinusoidal wave on a string. If the frequency of the wave is 150 Hz and the mass per unit length of the string is 0.2 g/m, the power transmitted by the wave is
question_answer14) Two closed organ pipes sounded simultaneously given 5 beats per second between the fundamentals. If the shorter pipe is 1.10 m long, the length of the longer pipe is
question_answer15) The electric field in a certain region is given by\[E=5i-3j\,\,kV/m\]. The potential difference \[{{V}_{B}}-{{V}_{A}}\] between points A and B, having coordinates (4, 0, 3) m and (10, 3, 0) m respectively, is equal to
question_answer16) A rod lies along the x-axis with one end at the origin and the other at \[x\to \infty \]o. it carries a uniform charge \[\lambda \,C/m\]. The electric field at the point \[x=-a\] on the axis will be
question_answer18) Two capacitors, \[3\,\mu F\] and \[4\,\mu F\], are individually charged across a 6 V battery. After being disconnected from the battery, they are connected together with the negative plate of one attached to the positive plate of the other. What is the final total energy stored
question_answer19) The given figure shows a spherical Gaussian surface and a charge distribution. When calculating the flux of electric field through the Gaussian surface, the electric field will be due to
A)
\[+\,\,{{q}_{3}}\] alone
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B)
\[+\,\,{{q}_{1}}\] and \[+\,\,{{q}_{3}}\]
doneclear
C)
\[+\,\,{{q}_{1}},+\,\,{{q}_{3}}\] and \[-\,\,{{q}_{2}}\]
question_answer20) A voltmeter of resistance \[280\,\,\Omega \] reads the voltage across the terminals of an old dry cell to be 1.40 V, while a potentiometer reads its voltage equal to 1.55 V. To draw maximum power from the battery, the load resistance must have the value
question_answer21) The electron of a hydrogen atom revolves round the proton in a circular n^ orbit of radius\[{{r}_{n}}={{\varepsilon }_{0}}{{n}^{2}}{{h}^{2}}/(\pi m{{e}^{2}})\] with a speed \[{{v}_{n}}=\frac{{{e}^{2}}}{2{{\varepsilon }_{0}}nh}\]. The current due to the circulating charge is proportional to
question_answer22) Six resistances each of value \[r=5\,\,\Omega \]. are connected between points A, B and C as shown in the figure. If \[{{R}_{1}},{{R}_{2}}\] and \[{{R}_{3}}\] are the net resistances between A and B, between B and C and between A and C respectively, then\[{{R}_{1}}:{{R}_{2}}:{{R}_{3}}\] will be equal to
question_answer24) The magnetic field in a certain region of space is given by \[B=8.35\times {{10}^{-2}}i\,T\]. A proton is shot into the field with velocity\[v=(2\times {{10}^{5}}i+4\times {{10}^{5}}j)\,\,m/s\]. The proton follows a helical path in the field. The distance moved by proton in the x-direction during the period of one revolution in the yz- plane will be
question_answer25) A planar coil having 12 turns carries 15 A current. The coil is oriented with respect to the uniform magnetic field B = 0.2i T such that its directed area is A = 0.04 i \[{{m}^{2}}\]. The potential energy of the coil in the given orientation is
question_answer26) The adjacent figure shows the cross-section of a long rod with its length perpendicular to the plane of the paper. It carries a constant current flowing along its length. \[{{B}_{1}},{{B}_{2}},{{B}_{3}}\] and \[{{B}_{4}}\] respectively represent the magnetic fields due to the current in the rod at points 1, 2, 3 and 4 lying at different separations from the centre O, as shown in the figure. Which of the following shall hold true?
question_answer27) When an AC source of emf E = eq sin (100 O is connected across a circuit, the phase difference between the emf E and the current I is observed to be \[\pi /4\], as shown in the figure. If the circuit consists possibly only of R -C or R - L in series, which of the following combinations is possible?
question_answer28) As shown in the figure, a metal rod makes contact with a partial circuit and completes the circuit. The circuit area is perpendicular to a magnetic field with B = 0.15 T. If the resistance of the total circuit is \[3\Omega \], the force needed to move the rod as indicated with a constant speed of 2 m/s will be equal to
question_answer29) As given in the figure, a series circuit connected across a 200 V, 60 Hz line consists of a capacitor of capacitive reactance \[30\,\,\Omega \], a non-inductive resistor of \[44\,\,\Omega \]. and a coil of inductive reactance \[90\,\,\Omega \]. and resistance\[36\,\,\Omega \]. The power dissipate in the coil is
question_answer30) The wave function (in SI unit) for a light wave is given as \[\Psi (x,t)={{10}^{3}}\sin \pi (3\times {{10}^{6}}x-9\times {{10}^{14}}t)\] The frequency of the wave is equal to
question_answer31) A short linear object of length L lies on the as of a spherical mirror of focal length \[f\] at distance u form the mirror. Its image has a axial length L equal to
question_answer32) An object is placed at a distance of 10 cm from co-axial combination of two lenses A and B contact. The combination forms a real image three times the size of the object. If lens B concave with a focal length of 30 cm. The nature and focal length of lens A is
question_answer33) White light is incident on face AB of agle prism. The path of the green component shown in the figure. If the green light is f totally internally reflected at face AC as shown, the light emerging form face AC will contain
question_answer34) A parallel beam of monochromatic light is incident normally on narrow slit. A diffraction pattern is formed on a screen placed perpendicular to the direction of the incident beam. At the first minimum of the diffraction pattern, the phase difference between the rays coming from the two edges of the slit is
question_answer35) The de-Broglie wavelength of an electron moving with a velocity \[1.5\times {{10}^{8}}m/s\]is equal to that of a photon. The ratio of the kinetic energy of the electron to the energy of the photon is
question_answer36) The threshold frequency for a certain photosensitive metal is \[{{v}_{0}}\]. When it is illuminated by light of frequency \[v=2{{v}_{0}}\], the maximum velocity of photoelectrons is \[{{v}_{0}}\]. What will be the maximum velocity of the photoelectron when the same metal is illuminated by light of frequency \[v=5{{v}_{0}}\]?
question_answer37) A nucleus of mass number 220, initially at rest, emits an \[\alpha \]-particle. If the Q value of the reaction is 5.5 MeV, the energy of the emitted \[\alpha \]-particle will be
question_answer38) A radioactive substance emits n beta particles in the first 2 seconds and 0.5 n beta particles in the next 2 seconds. The mean life of the sample is
question_answer39) Which of the following equations correctly represents the temperature variation of energy gap between the conduction and valence bands for Si?
question_answer42) A physical quantity X is given by \[X=\frac{2{{k}^{3}}{{l}^{2}}}{m\sqrt{n}}\] The percentage error in the measurements of\[k,\,\,\,l,\,\,m\] and n are 1%, 2%, 3% and 4% respectively. The value of X is uncertain by
question_answer43) A man runs at a speed of 4.0 m/s to overtake a standing bus. When he is 6.0 m behind the door (at t = 0), the bus moves forward and continues with a constant acceleration of\[1.2\,\,m/{{s}^{2}}\]. The man shall gain the door at time t equal to
question_answer44) One end of a string of length 1.0 m is tied to a body of mass 0.5 kg. It is whirled in a vertical circle with angular frequency 4 rad/s. The tension in the string, when the body is at the lower most point of its motion, will be equal to (Take \[g=10\,\,m/{{s}^{2}}\])
question_answer45) Let \[{{r}_{1}}\,(t)=3\,t\,i+4{{t}^{2}}j\] and \[{{r}_{2}}\,(t)=4\,{{t}^{2}}\,i+3r\,\,j\] represent the positions of particles 1 and 2, respectively, as function of time \[t,\,\,{{r}_{1}}(t)\] and \[{{r}_{2}}(t)\] are in metre and t in second. The relative speed of the two particles at the instant t = 1 s, will be
question_answer46) A particle moves in a circular orbit of radius r fc under a central attractive force \[F=-\frac{k}{r},\,k\] is constant. The time period of its motion shall be proportional to
question_answer47) In the figure given, the system is in equilibrium. What is the maximum value that W can have if the friction force on the 40 N block cannot exceed 12.0 N?
question_answer48) Three blocks, of masses \[{{m}_{1}}=2.0,\,\,{{m}_{2}}=4.0\] and \[{{m}_{3}}=6.0\,\,kg\] are connected by strings on a frictionless inclined plane of \[{{60}^{o}}\], as shown J the figure. A force F = 120 N is applied upward along the incline to the uppermost block, causing an upward movement of the blocks, if connecting cords are light. The values of tensions \[{{T}_{1}}\] and in the cords are
question_answer50) A sphere P of mass m and velocity vi undergoes an oblique and perfectly elastic collision with an identical sphere Q initially at rest. The angle \[\theta \] between the velocities of the spheres after the collision shall be
question_answer51) The \[{{E}^{o}}\] values of the following reduction reactions are given: \[F{{e}^{3+}}(aq)+{{e}^{-}}\xrightarrow{{}}F{{e}^{2+}}(aq),\,\,{{E}^{o}}=0.771\,\,V\] \[F{{e}^{2+}}(aq)+2{{e}^{-}}\xrightarrow{{}}Fe(s),\,\,\,\,\,\,{{E}^{o}}=-0.447\,\,V\] What will be the free energy change for the reaction? \[F{{e}^{3+}}(aq)+3{{e}^{-}}\xrightarrow{{}}Fe(s)\](1F = 96485 C \[mo{{l}^{-1}}\])
question_answer52) Which is the product of the following reaction\[{{C}_{6}}{{H}_{5}}-\overset{\begin{smallmatrix} O \\ || \end{smallmatrix}}{\mathop{C}}\,-OC{{H}_{3}}\xrightarrow[(ii)\,\,{{H}^{+}}/{{H}_{2}}O]{(i)\,{{C}_{2}}{{H}_{5}}MgBr\,(2\,mol)}\]
question_answer58) Consider two half-cells based on the reaction\[A{{g}^{+}}(aq)+{{e}^{-}}\xrightarrow{{}}Ag\,(s)\] The left half-cell contains \[A{{g}^{+}}\] ions at unit concentration, and the right half-cell initially had the same concentration of \[A{{g}^{+}}\] ions, but just enough \[NaCl\,\,(aq)\] had been added to completely precipitate the \[A{{g}^{+}}\,\,(aq)\] as \[AgCl\]. If the emf of the cell is 0.29 V, the \[{{\log }_{10}}\,\,{{K}_{sp}}\]would have been
question_answer59) Consider the cell,\[Pt|{{H}_{2}}(g,\,1\,atm)\,{{H}^{+}}(aq,\,\,1M)||F{{e}^{3+}}(aq),\]\[F{{e}^{2+}}(aq)|Pt(s)\] Given that \[{{E}^{o}}_{F{{e}^{3+}}/F{{e}^{2+}}}=0.771\,\,V\], the ratio of concentration of \[F{{e}^{2+}}(aq)\] to \[F{{e}^{3+}}(aq)\] is, when the cell potential is 0.830 V.
question_answer60) If the rate constant of a reaction has the value\[k=1.63\times {{10}^{-4}}{{(mol)}^{-\frac{1}{2}}}{{s}^{-1}}\], the order of the reaction is
question_answer62) Henrys law constants for aqueous solution of \[CO,\,{{O}_{2}},\,C{{O}_{2}}\] and \[{{C}_{2}}{{H}_{2}}\] gases are respectively at \[{{25}^{o}}C\] as \[58\times {{10}^{3}},\,43\times {{10}^{3}},1.61\times {{10}^{3}}\] and\[1.34\times {{10}^{3}}\]. The solubility of these gases decreases in the order
question_answer63) Ammonia undergoes self-dissociation according to the reaction,\[2N{{H}_{3}}(l)N{{H}_{4}}^{+}(am)+NH_{2}^{-}(am)\]where am, stands for ammoniated. When 1 mole of \[N{{H}_{4}}Cl\] is dissolved in 1 kg of liquid ammonia, the b. p. at 760 tour is observed at \[-{{32}^{o}}C\] (Normal b.p. of \[N{{H}_{3}}(l)\] is\[-{{33.4}^{o}}C\]). What conclusions are reached about the nature of the solution?
A)
\[N{{H}_{4}}Cl\] is completely dissociated in \[N{{H}_{3}}\]
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B)
\[N{{H}_{4}}Cl\] is partially dissociated in \[N{{H}_{3}}\]
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C)
\[N{{H}_{4}}Cl\] is not dissociated in \[N{{H}_{3}}\]
question_answer64) A reacts to form P. A plot of the reciprocal of the concentration of A vs time is a straight line. When the initial concentration of A is\[1.0\times {{10}^{-2}}M\], its half-life is found to be 20 min. When initial concentration of A is \[3.0\times {{10}^{-3}}M\] the half-life will be
question_answer66) In the reaction,\[3B{{r}_{2}}+6CO_{3}^{2-}+3{{H}_{2}}O\xrightarrow{{}}5B{{r}^{-}}\]\[+BrO_{3}^{-}+6\,HCO_{3}^{-}\] Choose the correct statement.
question_answer68) The work done by the gas liberated when 50 g of iron (molar mass 55.85 g \[mo{{l}^{-1}}\]) reacts with hydrochloric acid in an open beaker at \[{{25}^{o}}C\]
question_answer77) Given that the radius of \[N{{a}^{+}}\] ion is \[0.95\,\overset{o}{\mathop{A}}\,\] and that of \[C{{l}^{-}}\] ion is \[1.81\,\overset{o}{\mathop{A}}\,\], hence in the close packed lattice of \[C{{l}^{-}}\] ions, \[N{{a}^{+}}\] ions prefer to occupy
question_answer81) Effective atomic number of the central metal ion, Pt, in the complex \[{{[Pt{{(N{{H}_{3}})}_{6}}]}^{4+}}\] is: (The atomic no. of Pt is 78)
question_answer82) Compounds, \[{{[PtC{{l}_{2}}N{{H}_{3}})}_{4}}]B{{r}_{2}}\] and\[[PtB{{r}_{2}}{{(N{{H}_{3}})}_{4}}]C{{l}_{2}}\], shows the following type of isomerism
question_answer83) \[{{[Co{{(CN)}_{6}}]}^{3-}}\], a complex ion of cobalt (III), absorbs radiations in violet region of the visible light. Its aqueous solution, therefore, appears
question_answer84) A metal crystallizes into a lattice containing a sequence of layers of atoms of ABABAB... What percentage by volume of this lattice has empty space?
question_answer85) The decreasing order of the first ionisation energy (in kJ \[mo{{l}^{-1}}\]) of He, Mg and Na is\[He>Mg>Na\]. The increasing order of the 2nd ionisation energy (in kJ \[mo{{l}^{-1}}\]) of these elements will be
question_answer94) The following reaction\[C{{H}_{3}}-\overset{\begin{smallmatrix} H \\ | \end{smallmatrix}}{\mathop{\underset{\begin{smallmatrix} | \\ C{{H}_{3}} \end{smallmatrix}}{\mathop{C}}\,}}\,-\overset{\begin{smallmatrix} C{{H}_{3}} \\ | \end{smallmatrix}}{\mathop{\underset{\begin{smallmatrix} | \\ X \end{smallmatrix}}{\mathop{C}}\,}}\,-C{{H}_{3}}\xrightarrow[\begin{smallmatrix} KOH \\ -{{H}_{2}},-KBr \end{smallmatrix}]{Alcoholic}\]\[{{H}_{3}}C-\underset{\begin{smallmatrix} | \\ C{{H}_{3}} \end{smallmatrix}}{\mathop{C}}\,=\overset{\begin{smallmatrix} C{{H}_{3}} \\ | \end{smallmatrix}}{\mathop{C}}\,-C{{H}_{3}}\]is an example of
question_answer109) Stanley Miller had put the Oparin-Haldane theory to test in 1953 by creating in the laboratory, the probable conditions on the primitive Earth. In the experiment, simple amino acids were synthesized from the following mixtures as observed after 18 days
A)
\[{{H}_{2}},{{O}_{2}},N\]and \[{{H}_{2}}O\]
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B)
\[C{{H}_{4}},CN,{{H}_{2}}\] and \[{{O}_{2}}\]
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C)
\[{{H}_{2}},N{{H}_{3}},C{{H}_{4}}\] and water vapour
question_answer113) Depending upon the distance between any two genes which is inversely proportional to the strength of linkage, cross overs will vary from
question_answer117) ............ is a globular protein of \[\sim \]6 kDa consisting of 51 amino acids, arranged in a 2 polypeptide chains held together by disulphide bridge
question_answer136) It is a disease which mainly affects mucous membrane of urinogenital tract. In males, burning feeling on passing urine, after a yellow discharge occurs, that is accompanied by fever, headache and feeling of illness
question_answer155) When the chromosome has a centromere nearer to one end of the chromosome resulting into one shorter and one longer arm, the chromosome is termed as
question_answer163) In the overall process of photosynthesis, the number of \[C{{O}_{2}}\], water, sugar and \[{{O}_{2}}\] molecules utilized and produced is
question_answer171) Among the seven pairs of contrasting traits in pea plant, studied by Mendel, the number of traits related to flower, pod and seed respectively was
question_answer174) In a dihybrid cross where two parents differ in two pairs of contrasting traits like seed colour yellow (YY) and seed colour green (yy) with seed shape round (RR) and seed shape wrinkled (rr), the number of green coloured seeds (yy) among sixteen products of \[{{F}_{2}}\] generation will be
question_answer182) Cohen and Boyer isolated an antibiotic resistance gene, by cutting out a piece of DNA form a plasmid which was responsible for conferring antibiotic resistance, in the year
question_answer187) In a pyramid of biomass, if the total dry weight \[(kg{{m}^{-2}})\] of primary producers is about 809 it will decrease at tertiary consumer level upto
question_answer190) The range of bio magnification of DDT.in an aquatic food chain, if starting from 0.003 ppm 10 level in water, may go at fish eating bird level upto
question_answer197) When margin of thalamus grows upward enclosing ovary completely and getting fused with it and the other parts of flower arise above the ovary, the flower is said to be
question_answer198) When placenta forms a ridge along the ventral suture of the ovary and the ovules are borne on this ridge forming two rows, the placentation is termed as